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HourglassMage

  • 2 years ago

When segments intersect outside a circle, what is the relationship between the angle of intersection and the intercepted arcs?

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  1. dummyguy
    • 2 years ago
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    |dw:1399473160178:dw|

  2. dummyguy
    • 2 years ago
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    The intersecting lines form an angle. When those lines touch the sides of the circle, they form an arc. That arc has the same central angle within the circle as the angle of intersecting lines.

  3. dummyguy
    • 2 years ago
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    In other words: if the angle of intersection is in radians, the arc length is Radius * Angle

  4. HourglassMage
    • 2 years ago
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    So...The intersecting lines form an arc which has the same central angle within the circle as the angle of the intersecting lines.

  5. dummyguy
    • 2 years ago
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    Yes, and that allows you to determine the length of the arc.

  6. HourglassMage
    • 2 years ago
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    Thnx! :D

  7. dummyguy
    • 2 years ago
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    No problem :)

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